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Finding the Third Proportional to 277,322 and 427,730

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Solution

The third proportional to 277,322 and 427,730 is: 659,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,322 : 427,730 = 427,730 : x
  2. Step 2: Convert to fraction form
    277,322/427,730 = 427,730/x
  3. Step 3: Cross multiply
    277,322x = 427,730 × 427,730
  4. Step 4: Simplify right side
    277,322x = 182,952,952,900
  5. Step 5: Solve for x
    x = 182,952,952,900/277,322
  6. Step 6: Final answer
    x = 659,713.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.